Q2 of 354 Page 11

Find , when
x = a(θ + sinθ) and y = a(1 – cosθ)

x = a(θ + sinθ)

Differentiating it with respect to θ,

……(1)

And ,

y = a(1- cosθ)

Differentiating it with respect to θ ,

……(2)

Using equation (1) and (2) ,

{since, }

If prove that

Find , when

x = at² and y = 2at

Find , when

x = acosθ and y = bsinθ

Find , when

x = ae^θ (sin θ – cos θ),y = ae^θ(sinθ + cosθ)

Find , whenx = a(θ + sinθ) and y = a(1 – cosθ)